math help

What is 25/9 + 2/10?

What is 25/9 + 2/10?

Here's how we add

25
9
+
2
10

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 25 by 10, and get 250, then we multiply 9 by 10 and get 90.

25/9 times 10

Do the same for the second term. We multiply 2 by 9, and get 18, then multiply 9 by 10 and get 90.

2/10 times 9

The problem now has new fractions to add:

250
90
+
18
90

Step 2

Since our denominators match, we can add the numerators.

250 + 18 = 268

The sum we get is

268
90

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

268
90
÷ 2 =
134
45

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

No good. 47 is larger than 45. So we're done reducing.

Congratulations! Here's your final answer to 25/9 + 2/10

25
9
+
2
10
=
134
45
© 2014 Randy Tayler